Local discontinuous Galerkin methods for nonlinear Schrödinger equations

Y. Xu; Chi-Wang Shu

doi:10.1016/j.jcp.2004.11.001

Local discontinuous Galerkin methods for nonlinear Schrödinger equations

Y. Xu, Chi-Wang Shu

Research output: Contribution to journal › Article › Academic › peer-review

192 Citations (Scopus)

Abstract

In this paper we develop a local discontinuous Galerkin method to solve the generalized nonlinear Schrödinger equation and the coupled nonlinear Schrödinger equation. L2 stability of the schemes are obtained for both of these nonlinear equations. Numerical examples are shown to demonstrate the accuracy and capability of these methods.

Original language	Undefined
Article number	10.1016/j.jcp.2004.11.001
Pages (from-to)	72-97
Number of pages	26
Journal	Journal of computational physics
Volume	205
Issue number	1
DOIs	https://doi.org/10.1016/j.jcp.2004.11.001
Publication status	Published - 2005

Keywords

Local discontinuous Galerkin method
Nonlinear Schrödinger equation
IR-70180
METIS-226289
EWI-12203

Access to Document

10.1016/j.jcp.2004.11.001

http://eprints.eemcs.utwente.nl/secure2/12203/01/JCP_205_72.pdf

Cite this

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title = "Local discontinuous Galerkin methods for nonlinear Schr{\"o}dinger equations",

abstract = "In this paper we develop a local discontinuous Galerkin method to solve the generalized nonlinear Schr{\"o}dinger equation and the coupled nonlinear Schr{\"o}dinger equation. L2 stability of the schemes are obtained for both of these nonlinear equations. Numerical examples are shown to demonstrate the accuracy and capability of these methods.",

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AU - Shu, Chi-Wang

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AB - In this paper we develop a local discontinuous Galerkin method to solve the generalized nonlinear Schrödinger equation and the coupled nonlinear Schrödinger equation. L2 stability of the schemes are obtained for both of these nonlinear equations. Numerical examples are shown to demonstrate the accuracy and capability of these methods.

KW - Local discontinuous Galerkin method

KW - Nonlinear Schrödinger equation

KW - IR-70180

KW - METIS-226289

KW - EWI-12203

U2 - 10.1016/j.jcp.2004.11.001

DO - 10.1016/j.jcp.2004.11.001

M3 - Article

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EP - 97

JO - Journal of computational physics

JF - Journal of computational physics

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